Answers
Answer:
29 degrees
Step-by-step explanation:
Note how both triangles are isosceles triangles, which mean two angles will be equivalent. In the triangle with the marked angle measurement, since the total of angles in a triangle is 180, then the measurement of the unmarked angles have a sum of 180-64, which is 116. Then, as stated before, this triangle is isosceles, so the measurement of each unmarked angle is 116/2, which is 58.
Next, notice how the angle below angle x in that triangle shares a line with one of the 58 degree angles. This means that angle is 180-58, which is 122. Now, since the total of angles in a triangle is 180 and the triangle is isosceles, then angle x is (180-122)/2, which is 58/2, or 29 degrees
Related Questions
graph the line with slope -3/4 passing through the point (2,-1)
Answers
Answer:
Step-by-step explanation:
Slope of the line:
[tex]m = \frac{y-y1}{x-x1} \\[/tex]
Given:
slope = -3/4
point (x1,y1) = (2, -1)
Substitute and solve
[tex]m = \frac{y-y1}{x-x1} \\-\frac{3}{4} = \frac{y-(-1))}{x-2} \\-3(x-2) = 4(y+1)\\-3x + 6 = 4y + 4 \\Transpose\\4y = -3x + 6 - 4\\4y = -3x + 2 \\y = -3/4x + 2/4\\y = -3/4x + 1/2\\OR\\4y +3x - 2 = 0[/tex]
1/2 is the y-intercept
(0,1/2)
Since we have 2 points already, we can then graph the line.
(2, -1) and (0, 1/2)
The mean distance of the earth from the sun (let's call it d) is 93 million miles. The distance varies as much as 1.6 million miles. Write the equation that describes the possible distances of the earth from the sun, using as distance unit millions of miles.
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
Mean distance of earth from the sun = 93 million miles
Let mean distance of earth from the sun = d
The variation on the distance is as much as 1. 6 million miles
Possible distances of the earth from the sun can be modeled using :
|d - 93| = ± 1.6
Where d = distance from earth to the sun
d = - 1.6 million + 93 million
d = 91.4 million
d = 1.6 million + 93 million
d = 94.6 million
Hence, possible distance from earth to the sun :
91.4 < d < 94.6
The difference between twice a number and
2/3
of the same
number is 68. What is the number?
Answers
Answer:
51
Step-by-step explanation:
2x - 2/3x = 68
4/3x = 68
4x = 204
x = 51
Write the following comparison as a ratio reduced to lowest terms.
5 nickels to 40 dimes
Answers
A ratio shows us the number of times a number contains another number. The given ratio of nickles to dimes in the reduced form can be written as 1/8.
What is a Ratio?A ratio expresses the number of times one number contains another. For example, if a dish of the fruit contains eight oranges and six lemons, the orange-to-lemon ratio is eight to six. Similarly, the lemon to orange ratio is 6:8, while the orange to total fruit ratio is 8:14.
The given ratio of nickles to dimes in the reduced form can be written as shown below.
Nickels / Dimes = 5 /40
Divide both the numerator and the denominator by 5,
Nickels / Dimes = 1/8
Hence, The given ratio of nickles to dimes in the reduced form can be written as 1/8.
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Alex purchased a phone card for $30. He has used t minutes of access time
at 10 cents per minute. To write an algebraic expression to represent how
many dollars Alex has left on his card, fill in the boxes
Answers
Answer:
30- 0.1t
Hope it helps!
Addison is talking $230 of spending money on four day vacation and would like to budget to spend the same amount each day. How much money should Addison spend each day?
Answers
Answer:
She should spend $57.5 each day
Answer: $57.5
Step-by-step explanation:
WILL GIVE BRAINLIEST
15 POINTS
The area in square feet of a rectangular field is x^2 - 130x + 4000. The width, in feet, is x - 50. What is the length, in feet?
Answers
A and B will take the same 10-question examination. Each question will be answered correctly by A with probability .7, independently of her results on other questions. Each question will be answered correctly by B with probability .4, independently both of her results on the other questions and on the performance of A. (a) Find the expected number of questions that are answered correctly by both A and B. (b) Find the variance of the number of questions that are answered correctly by either A or B.
Answers
(a) The expected number of questions answered correctly by both A and B is 28.
(b) The variance of the number of questions answered correctly by either A or B is 4.5.
Let's define the following variables:
X = Number of questions answered correctly by A
Y = Number of questions answered correctly by B
(a) Expected number of questions answered correctly by both A and B:
We can use the formula for the expected value of the product of two independent random variables:
E(X × Y) = E(X) × E(Y)
The probability of A answering a question correctly is 0.7, and the probability of B answering a question correctly is 0.4.
Since the questions are independent, we can calculate the expected values for X and Y:
E(X) = 10 (number of questions) × 0.7 (probability of A answering correctly) = 7
E(Y) = 10 (number of questions) × 0.4 (probability of B answering correctly) = 4
Now, the expected number of questions answered correctly by both A and B is:
E(X× Y) = E(X) × E(Y)
= 7×4
= 28
(b) Variance of the number of questions answered correctly by either A or B:
Variance is calculated differently for independent events. Since A and B's performances are independent, we can use the following formula:
Var(X + Y) = Var(X) + Var(Y)
The variance of a binomial distribution with n trials and probability p of success is given by np(1-p).
For A and B:
Var(X) = 10× 0.7 × (1 - 0.7)
= 2.1
Var(Y) = 10 × 0.4× (1 - 0.4)
= 2.4
Now, the variance of the number of questions answered correctly by either A or B is:
Var(X + Y) = Var(X) + Var(Y)
= 2.1 + 2.4
= 4.5
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which two intergers have a difference of 24 and a quotient of -7
Answers
Answer:
21 and -3
Step-by-step explanation:
Hope this helps!!! :)
Put the following equation of a line into slope intercept form, simplifying all fractions 4x+3y=-3
Answers
Answer:
[tex]y=-\frac 4 3 x+1[/tex]
Step-by-step explanation:
Slope intercept form comes in this format: y= mx+b.
Let's convert it.
[tex]4x+3y=3\\3y=-4x+3\\y=-\frac 4 3 x+1[/tex]
In conclusion the answer is y = -4/3x+1
5
The product of twice a number and five is the same as the difference of nine times the number and
3
Find the
number.
Tho numb
Answers
Answer: Negative 3
Step-by-step explanation: 2n(5)=9n-3. 10n=9n-3. Subtract 9n from both sides. n= -3
17,892÷210 find the quotient
Answers
Answer:
85.2
Step-by-step explanation:
17,892 ÷ 210
85.2
Best of Luck!
Which number is a factor of 16 but not a multiple of 8???
Answers
Answer:
the answer to the question is 4
Step-by-step explanation:
please help it's due at midnight tonight.
Answers
Answer:
See attached
Step-by-step explanation:
The first one
-3 ≤ x < 6x = [-3, 6)The second one
-3x > 24 + 6-3x > 30x < -10x = ( -oo, -10)2x² + 10 factorización
Answers
Answer:
2(x² + 5)
Step-by-step explanation:
To factor 2x² + 10, we can first factor out the greatest common factor of the terms, which is 2:
2x² + 10 = 2(x² + 5)
We can't factor anymore, so the answer is:
2(x² + 5)
Answer:
2(x² + 5)
Step-by-step explanation:
To factorise this, do the distributive property backwards. In other words:
2x² + 10
2x² ÷ 2 + 10 ÷ 2
x² + 5
2(x² + 5)
∴ 2(x² + 5) is the answer
A. 7 x 7^4
B. 10^9 divided by 10^7
C.5^8 divided by 5
IN INDEX NOTATION
Answers
b - 10^2
c - 5^7
2. There are 225 students at Memorial
Middle School. On Friday, 135 students
wore clothing in the school colors. What
percent of the students wore clothing in
the school colors?
Answers
Select all the correct answers.
Which two inequalities can be used to find the solution to this absolute value inequality?
3+2|x-11 <9
2(x - 1) <-3
x-1 <9
X-1 >-9
-2(x - 1) > 3
x-1-3
X-1 <3
Answers
Answer: x-1 > -3 and x-1 < 3
Step-by-step explanation:
If you work out the equation, you’ll end up getting -2 and 4, so when you work out the two equations that are the answers you get -2 and 4.
The two inequalities are : x-1 > -3 and x-1 < 3
What is inequality?A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
Given:
3+2|x-11| <9
On further solving
2|x-11| < 9-3
2|x-11| < 6
x-11< 3
x<14
According to question the inequalities can be used to find the solution to this absolute value inequality.
So, x-1 > -3 and x-1 < 3 ( when negative sign multiply the sign of inequality changes)
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-8r –9 > -21...............
Answers
Answer:
r < 3/2 or r < 1.5
Step-by-step explanation:
-8r - 9 > 21
-8r > -21 +9
-8r > -12
divide both sides by -8
= r < 3/2 or 1.5
72=1/2h(4+5) solve for h
Answers
Answer:
h=16
Step-by-step explanation:
1
Simplify —
2
Equation at the end of step
1
:
1
72 - ((— • h) • 9) = 0
2
STEP
2
:
Rewriting the whole as an Equivalent Fraction
2.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 2 as the denominator :
72 72 • 2
72 = —— = ——————
1 2
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
72 • 2 - (9h) 144 - 9h
————————————— = ————————
2 2
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
144 - 9h = -9 • (h - 16)
Equation at the end of step
3
:
-9 • (h - 16)
————————————— = 0
2
STEP
4
:
When a fraction equals zero
4.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
-9•(h-16)
————————— • 2 = 0 • 2
2
Now, on the left hand side, the 2 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
-9 • (h-16) = 0
Equations which are never true:
4.2 Solve : -9 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
4.3 Solve : h-16 = 0
Add 16 to both sides of the equation :
h = 16
Kareem has 12 ½ yards of material. A cape for a play takes 3 5/6 yards. How many capes can Kareem make with the material? *
Answers
Please help!!! Brainliest given!!
1. Which of the following polynomial equations are valid identities?
A. m3 - 1 = (m - 1) (1 + m + m2)
B.(n + 3)2 + 2n = 81 +13
A. Only B
B. Only A
C. Neither A nor B
D. Both A and B
2. Select the polynomial that has (x-3) as a factor.
A. p(x)=x^4-2x^3-25
B. p(x)=x^3+3x^2-2x-6
C. p(x)=x^3-2x^2-4x+3
D. p(x)=x^4-20x-23
3. Find the remainder when x^4-2x^3+x^2-5x+3 is divided by x+1
A. 3
B. 8
C. 12
D. -2
Answers
Answer:
1: A
2: C
3: I have no clue (Sorry)
Step-by-step explanation:
Answer:
1. A2. C3. CStep-by-step explanation:
1. ................................................
A. m^3 - 1 = (m - 1)( 1 + m + m^2)
When we open parenthesis we get both sides equal. YESB. (n + 3)^2 + 2n = 81 + 13
Left side has variables, right side not. NO2. Polynomial that has (x - 3) as a factor
A. p(x)=x^4-2x^3-25
x^4 - 3x^3 + x^3 - 27 + 2x^3(x-3) + (x - 3)(x^2 + 3x + 9) + 2It can' be factored without remainder. NOB. p(x)=x^3+3x^2-2x-6
x^2(x+3) -2(x+3).It has (x+3) as a factor. NOC. p(x)=x^3-2x^2-4x+3
x^3 - 3x^2 + x^2 - 3x - x +3 =x^2(x - 3) + x(x - 3) - (x - 3)It has a (x - 3) as a factor. YESD. p(x)=x^4-20x-23
x^4 - 27 x + 7 x - 23 =x(x-3)(x+3x + 9) + 7( x - 3) - 2It can' be factored without remainder. NO3. x^4-2x^3+x^2-5x+3 is divided by x+1, find remainder
x^4 + x^3 - 3x^3 - 3x^2 + 4x^2 + 4x - 9x - 9 + 12=x^3 (x + 1) - x^2(x + 1) + 4x(x + 1) - 9(x + 1) + 12The remainder is 12. Option CGeometric definition of circle: a circle is the set of all points (x,y) in a plane (________) that are equidistant (_________) from a fixed point called the focus which also is the center of the circle
Answers
A circle is defined geometrically as the set of all points (x, y) in a two-dimensional plane that are equidistant from a fixed point called the center of the circle.
In other words, for any point (x, y) on the circle, the distance between that point and the center is constant.
To elaborate, let's consider a circle with center (h, k) and radius r. Any point (x, y) lying on the circle satisfies the equation of distance as follows:
√((x - h)² + (y - k)²) = r
This equation represents the Pythagorean theorem applied to the right triangle formed by the distance between the point (x, y) and the center (h, k), with the hypotenuse being the radius r. Since all points on the circle have the same distance from the center, this equation holds true for any point on the circle.
The constant distance, or radius, is the key characteristic of a circle. It determines the size of the circle and is defined as the distance from the center to any point on the circumference. The radius is typically denoted by the lowercase letter "r" and can be used to calculate various properties of the circle, such as its area and circumference.
In summary, a circle is the set of all points in a plane that are equidistant from a fixed point called the center. The distance between any point on the circle and the center is constant, and this distance is defined as the radius of the circle. The geometric definition provides a clear understanding of the fundamental properties and characteristics of a circle.
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Find the points on the ellipse
5x² + y² = 5
that are farthest away from the point (1, 0).
Answers
9514 1400 393
Answer:
(-0.25, ±√4.6875)
Step-by-step explanation:
The square of the distance from a point on the ellipse to the point (1, 0) is ...
d^2 = (x -1)^2 +y^2
Using the equation of the ellipse to write an expression for y^2, we have ...
d^2 = (x -1)^2 +5 -5x^2
d^2 = -4x^2 -2x +6
The expression on the right is that of a downward-opening parabola with ...
a = -4, b = -2, c = 6
The maximum is located at ...
x = -b/(2a) = -(-2)/(2(-4)) = -1/4
The value of y there is ...
y^2 = 5 -5(-1/4)^2 = 4 11/16
y = √4.6875
The points on the ellipse farthest from (1, 0) are (-0.25, ±√4.6875).
who invented the homework?
Answers
Answer:
Step-by-step explanation:
Roberto Nevelis
Roberto Nevelis of Venice, Italy, is often credited with having invented homework in 1095—or 1905, depending on your sources. Upon further inspection, however, he seems to be more of an internet myth than an historical personage.
Answer:
Roberto Nevelis
Step-by-step explanation:
Roberto Nevelis of Venice, Italy, is often credited with having invented homework in 1095—or 1905, depending on your sources. Upon further inspection, however, he seems to be more of an internet myth than an historical personage.
Hope this helps :)
Solve the formula for converting temperature from degrees Celsius to
degrees Fahrenheit for C.
F = 9/5C +32
O A. C = 9/5(F +32)
O B. C = 9/5F + 32
O C. C = 5/9F-32
O D. C = 5/9(F-32)
Answers
Answer:
C. C=9/5F+32
Step-by-step explanation:
divided by 5 then multiply by 9 then add 32
if I have three pieces of paper and my friend take a piece of paper from me how many pieces of paper do I have total
Answers
Answer: 3
Step-by-step explanation: If he takes one YOU have 2 but in TOTAL you still have 3
The grocery store is having a sale on cereal. A box of cereal normally costs $4.56. Today, it is on sale for 25% off. If you buy 4 boxes of cereal, how much money will you have to pay at the register? There is no sales tax on the cereal.
Answers
Answer:
13.68
Step-by-step explanation:
if you do 4.56*4 you get 18.24 and 18.24 minus 25 percents is 13.68
Jared bought 15 colored pencils for $9. At that rate, how much would it cost to buy 5 colored pencils?
Question 5 options:
$3
$6
$30
$45
Answers
Answer:
it would cost him $3
Step-by-step explanation:
$9 divided by the 15 pencils is 0.6 cents
0.6 times 5 equals $3
What is (x + 1) − (−2x − 5)
Answers
Answer:
11x+6
Step-by-step explanation:
Using FOIL
(x+1)-(-2x-5)-original
F-first=(x+2x)=3x
O-outside=(x+5)=5x
I-inside=(1+2x)=3x
L-last=(1+5)=6
11x+6
